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Finding the Fourth Proportional to 72,223.20, 108,205.20 and 61,855.20

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Solution

The fourth proportional to 72,223.20, 108,205.20 and 61,855.20 is: 92,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,223.20 : 108,205.20 = 61,855.20 : x
  2. Step 2: Convert to fraction form
    72,223.20/108,205.20 = 61,855.20/x
  3. Step 3: Cross multiply
    72,223.20x = 108,205.20 × 61,855.20
  4. Step 4: Simplify right side
    72,223.20x = 6,693,054,287.04
  5. Step 5: Solve for x
    x = 6,693,054,287.04/72,223.20
  6. Step 6: Final answer
    x = 92,671.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.